How do you graph #y=x+6# by plotting points?

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Answer 1 · 2018-03-14T14:01:50

See a solution process below:

To graph a linear equation you only need to plot two points.

First, solve for two points which solve the equation and plot these points:

First Point: For #x = 0#

#y = 0 + 6#

#y = 6# or #(0, 6)#

Second Point: For #x = 1#

#y = 1 + 6#

#y = 7# or #(1, 7)#

We can next plot the two points on the coordinate plane:

graph{(x^2+(y-6)^2-0.025)((x-1)^2+(y-7)^2-0.025)=0 [-10, 10, -2, 8]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y-x-6)(x^2+(y-6)^2-0.025)((x-1)^2+(y-7)^2-0.025)=0 [-10, 10, -2, 8]}